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Finding the Third Proportional to 152,101.13 and 227,920.50

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Solution

The third proportional to 152,101.13 and 227,920.50 is: 341,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,101.13 : 227,920.50 = 227,920.50 : x
  2. Step 2: Convert to fraction form
    152,101.13/227,920.50 = 227,920.50/x
  3. Step 3: Cross multiply
    152,101.13x = 227,920.50 × 227,920.50
  4. Step 4: Simplify right side
    152,101.13x = 51,947,754,320.25
  5. Step 5: Solve for x
    x = 51,947,754,320.25/152,101.13
  6. Step 6: Final answer
    x = 341,534.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.